Question

In a photograph, a house is 4 inches wide and 6 inches tall. The photograph is enlarged while keeping proportional dimensions, and the width of the house in the enlarged photograph is 9 inches. What is the height of the house in the enlarged photograph?
A)2.7 inches

B)6.0 inches

C)11.0 inches

D)13.5 inches

Answer 1

Since you keep proportional dimensions, the proportion between the old and new dimensions must be the same. So, if we call the new height $h$, the preservation of the width/height ratio is written as

$4 \div 6 = 9 \div h$

Solving the proportion for $h$ yields

$h = \frac{6\cdot 9}{4} =\frac{3\cdot 9}{2} = \frac{27}{2} = 13.5$

Answer 2

Answer:

13.5

Step-by-step explanation: